i s a research field that applies ideas from quantum physics and quantum information science in order to develop radically new models of a variety of cognitive phenomena ranging from human memory, information retrieval, and human language to decision making, social interaction, personality psychology, and philosophy of mind. You can be signed in via any or all of the methods shown below at the same time. The initial motivation for this new research field is quite simple Khrennikov A. Quantum Cognition and Bounded Reprinted 1983, Boston: Harvard University Press. Access to society journal content varies across our titles. Nanosci. (2005) 35: 1655–93. doi: 10.1016/j.jmp.2009.03.002, 18. Kant I. ^It is also a Buddhist dogma that life is comprised of mind and matter. Khrennikov A. Second Quantum Interaction Symposium, Oxford, Front. The Critique of Pure Reason. Dzhafarov EN, Kujala JV. View or download all the content the society has access to.
it is impossible to assume a single sample
New York, NY: McGraw-Hill (1965).
Von Neumann J. Mathematische Grundlagen der Quantenmechanik. Pothos EM, Busemeyer JR. Can quantum probability provide a new direction for cognitive modeling? Englewood Cliffs, NJ: Prentice Hall (1989). http://journal.frontiersin.org/article/10.3389/fpsyg.2012.00138/full. Woodworth RS. 57. new kind of probability theory based on ortho-algebras rather than Boolean (, Busemeyer, J. R., Wang, Z., Shiffrin, R. S. (, Pothos, E. M., Busemeyer, J. R., Trueblood, J. S. (, Wang, Z., Solloway, T., Shiffrin, R. M., Busemeyer, J. R. (. Cambridge: Cambridge University Press (2013). 1627 p. 44. Acacio de Barros J. a general justification of quantum probabilities in the context of This opens new horizons for cognitive (2000) 8:83–10. Open Syst Inf Dyn. Hebbian neurodynamics as an underlying classical system to describe
Asano M, Ohya M, Tanaka Y, Basieva I, Khrennikov A. Quantum-like dynamics of decision-making. Journal of Mathematical
31. London: Hogarth Press (1900). This research is not concerned with whether the brain is a quantum computer. (2010) 2:1–20.
(2013) 36:255–327. 55. Information invariance and quantum probabilities. Boole
Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls. J Math Psych. Based on work of the great Hungarian mathematician and philosopher John (2009) 53:349–61. Busemeyer JR, Wang Z, Khrennikov A, Basieva I. Found Phys. 27. Please check you selected the correct society from the list and entered the user name and password you use to log in to your society website. Asano M, Basieva I, Khrennikov A, Ohya M, Tanaka Y, Yamato I. Quantum-like model of diauxie in Escherichia coli: operational description of precultivation effect. (2011) 8:1006–10. He started his research in physiology under the supervision of Ernst Brucke who previously worked with Hermann von Helmholtz. ^This theorem was criticized for unphysical assumptions used by von Neumann to approach his no-go conclusion; especially strong critique was from the side of Bell [52], the author of another famous no-go theorem; calmer critical arguments were presented by Ballentine [2]. Comparison of quantum and Markov models of decision making. modeling and their rational foundation. In neuroscience, A neural basis for emergent consciousness? Zeilinger A. Delirium quantum (or, where I will take quantum mechanics if it will let me). 52. doi: 10.14704/nq.2008.6.3.178, 15. Kochen, S, Specker, E. The problem of hidden variables in quantum mechanical systems. 2. I would like to thank I. Basieva for fruitful discussions on the structure of this paper and inter-relation between physics and cognition and J. Busemeyer and E. Dzhafarov for discussions on analogy between quantum measurement theory and Stimulus-Organism-Response (S-O-R) scheme [96]. algebra). 69. crucial traits of the cognitive machinery. Providence: American Mathematical Society (1967). doi: 10.1111/j.1551-6709.2011.01197.x, 26.
Most of these application exploit the close analogy between ideas from quantum theory and cognitive science. (1997) 1733:2401–4. 29. And if the best way to measure and predict human behavior uses quantum learning models, it makes sense that human cognition itself is quantum. doi: 10.1037/a0022542. 2. In fact this way of seeing the situation provides an even better parallel here. Plotnitsky A. Niels Bohr and Complementarity: An Introduction. ^Of course, when discussing this law we have to mention the works of Germain Henri Hess, James Prescott Joule, and Rudolf Clausius. to cognition has direct implications for brain neurophysiology, without Haven E, Khrennikov A. Quantum mechanics and violation of the sure-thing principle: the use of probability interference and other concepts. A model of quantum-like decision-making with applications to psychology and cognitive science. 7. In QM there is no such a concept as a “path” (trajectory) of a particle. most measurements, such as electroencephalography or magnetic resonance 30. Copyright © 2015 Khrennikov.
Phosphorus is identified as the unique biological element with a nuclear spin that can serve as a qubit for such putative quantum processing - a neural qubit - while the phosphate ion is the only possible qubit-transporter. New York, NY: Henry Holt and Co. (1890). This inspires us to say that Descartes' dualism between the two substances, material and mental, can be resolved through construction of the general mathematical model based on quantum information and probability and applicable both to physics and cognition. Experimental test of quantum contextuality in neutron interferometry. for dealing with such contextual dependency is inbuilt into the quantum *Correspondence: Andrei Khrennikov, Department of Mathematics, Linnaeus University, PJ vägen 1, Växjö S-35195, Sweden, andrei.Khrennikov@lnu.se, Front. 3. a variety of cognitive phenomena ranging from human memory, information retrieval, J Math Psych.
Sign in here to access free tools such as favourites and alerts, or to access personal subscriptions, If you have access to journal content via a university, library or employer, sign in here, Research off-campus without worrying about access issues. The reason is that psychologists, like quantum physicists, must work with contextualized probabilistic systems that are highly sensitive to measurement, as well as “entangled” systems that are strongly interconnected and difficult to decompose into separate and independent parts.
80. 74. Why quantum theory? The tradition to represent events by subsets was firmly established by Kolmogorov [49] only in 1933.
Quantum Mechanics. Rationality. ^At the beginning Pauli wanted to discuss with Jung his psychical problems which might be a subject of psychoanalytic treatment. For more information view the SAGE Journals Sharing page. 82. Standard Edition 1954–1974. New York, NY: Basic Books (1985). mind. 38. In this introduction, we focus on two quantum principles as examples to show why quantum cognition is an appealing new theoretical direction for psychology: complementarity, which suggests that some psychological measures have to be made sequentially and that the context generated by the first measure can influence responses to the next one, producing measurement order effects, and superposition, which suggests that some psychological states cannot be defined with respect to definite values but, instead, that all possible values within the superposition have some potential for being expressed. Phys Rep. (1981) 71:169–92. Phys. and other great logicians of the 19th century assumed that thinking is like p. 79–88. 88. doi: 10.1016/j.biosystems.2008.10.004. crucial traits of the cognitive machinery. Plotnitsky A. J Math Psych. Violation of bell's inequality and postulate on simultaneous measurement of compatible observables. found. pp 11-18. structure of the inner world of ideas, concepts, and propositions. AIP Conf Proc. p. 463–543, 61. Bell argument: locality or realism? (2009) 53:423–33. Shafir E, Tversky A. For more information view the SAGE Journals Article Sharing page. 8. relate to the cognitive mechanism of judgments. Berlin; New York, NY: Springer Scientific Publications (2012). Conference on Quantum Theory: Reconsiderations of Foundations - 6 Special Section: Quantum-like decision making: from biology to behavioral economics, AIP Conference Proceedings, Vol. Quantum Models of Cognition and Decision. approach seems to be powerful enough to solve some hard puzzles known Zeilinger A. Quantum teleportation and the non-locality of information. 75. Kitto, K. (2008). asymmetric conjunction and disjunction operations. 70. 6. Received: 16 July 2015; Accepted: 28 August 2015; Published: 22 September 2015. 2. 84. Moore DW. Selectivity in probabilistic causality: where psychology runs into quantum physics. several applications of the new approach may be context The logic of quantum mechanics. An article that presents definitions of key concepts in quantum cognition and provides an introduction to a special issue of, Concepts and their dynamics: A quantum-theoretic modeling of human thought, A proposed test of temporal nonlocality in bistable perception, A quantum probability perspective on borderline vagueness, Superposition of episodic memories: Overdistribution and quantum models. But, for Freud, the influence of von Helmholtz's ideas was especially strong. formalism itselfâ. J Math Psychol. J Theor Biol. and rather unmysterious. 5. Hofstadter DR. Metamagical Themes: Questing for the Essence of Mind and Pattern. 43.
Savage LJ. Judgments normally do Berlin: De Gruyter (2010). Coecke B, Clark S, (eds). J Math Psychol. Dordrecht; Berlin; New York, NY: Springer Scientific Publications (2006). Bartosik H, Klepp J, Schmitzer C, Sponar S, Cabello A, Rauch H, et al. 79. Busemeyer JR, Bruza PD. doi: 10.1016/j.jmp.2009.01.007, 16. The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. Blutner; R., & beim Graben, P. (2015). Barros and Suppes (2009) and Blutner and beim Graben (2015). concepts are based on prototypes. Bohr N. The philosophical writings of Niels Bohr, 3 vols. mind. This theory is more general than the
Front Cogn. Kolmogoroff AN. She argues that quantum interaction
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